3 years ago

3 What is the y-intercept of the line with the equation Y = 1/2 - x - 3?

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

8 0

Answer:

Step-by-step explanation:

Given Equation :

$y = \frac{1}{2} x - 3$

Which is in slope intercept form :

$y = mx + b$

Where :

m = slope

b = y-intercept.

Thus , in the given Equation , the y-intercept is -3

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Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.

dalvyx [7]

Answer:

The measure of the side $QR$ is 8.8.

Step-by-step explanation:

Since $LMNO \sim PQRS$ , then $SP \propto OL$ , $RS \propto ON$ , $RQ \propto MN$ and $QP \propto LM$ . From figure we have the following relationship:

$k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}$ (1)

Where $k$ is the proportionality ratio.

If we know that $SP = 13, OL = 55, MN = 37$ , then the measure of side $QR$ is:

$k = \frac{OL}{SP}$ (1b)

$k = \frac{55}{13}$

$k = \frac{MN}{QR}$

$QR = \frac{MN}{k}$ (1c)

$QR = \frac{37}{\frac{55}{13} }$

$QR = 8.745$

The measure of the side $QR$ is 8.8.

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4. Tierra is 15 years old. Her brother is 6 years older than 1/3 her age. How old is Tierra's brother.

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